... matters.−Theauthor’s/editor’sinstructions. Y. Kosmann-Schwarzbach B. Grammaticos K.M. Tamizhmani (Eds.) Integrability of Nonlinear Systems 13 Integrability – and How to Detect It 35The extension ... M. Tamizhmani Department of MathematicsPondicherry UniversityKalapetPondicherry 605 014, IndiaY. Kosmann-Schwarzbach, B. Grammaticos, K. M. Tamizhmani (eds.), I ntegrabili ty of Nonlinear Systems, ... components of angular velocity, (α, β, γ) the directionscosines of the direction of gravity, (A, B, C) the moments of inertia, (x0,y0,z0)the position of the centre of mass of the system,...